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Finding the Third Proportional to 46,682 and 100,774

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Solution

The third proportional to 46,682 and 100,774 is: 217,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,682 : 100,774 = 100,774 : x
  2. Step 2: Convert to fraction form
    46,682/100,774 = 100,774/x
  3. Step 3: Cross multiply
    46,682x = 100,774 × 100,774
  4. Step 4: Simplify right side
    46,682x = 10,155,399,076
  5. Step 5: Solve for x
    x = 10,155,399,076/46,682
  6. Step 6: Final answer
    x = 217,544.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.